Question

3 given the following velocity time graph, which statement best describes this objects motion?a the object is moving 10 meters every secondb the object is slowing down by 10m/s every secondc the object is at restd the object is speeding up by 10m/s every second

Explanation:

1. Analyze the velocity-time graph: it is a straight line starting at (0,0) and increasing, meaning the object has constant positive acceleration (speeding up).
2. Calculate acceleration: $a = \frac{\Delta v}{\Delta t} = \frac{50\ \text{m/s} - 0\ \text{m/s}}{5\ \text{s} - 0\ \text{s}} = 10\ \text{m/s}^2$. This means velocity increases by 10 m/s each second.
3. Evaluate options:

• A: Describes constant velocity, which does not match the increasing velocity graph.
• B: Describes negative acceleration (slowing down), which is the opposite of the graph.
• C: An object at rest has a velocity of 0 at all times, which does not match.
• D: Matches the calculated constant positive acceleration of 10 m/s².

Answer:

D. The object is speeding up by 10m/s every second